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Finding the Fourth Proportional to 21,643.01, 32,468.09 and 7,599.38

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Solution

The fourth proportional to 21,643.01, 32,468.09 and 7,599.38 is: 11,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.01 : 32,468.09 = 7,599.38 : x
  2. Step 2: Convert to fraction form
    21,643.01/32,468.09 = 7,599.38/x
  3. Step 3: Cross multiply
    21,643.01x = 32,468.09 × 7,599.38
  4. Step 4: Simplify right side
    21,643.01x = 246,737,315.79
  5. Step 5: Solve for x
    x = 246,737,315.79/21,643.01
  6. Step 6: Final answer
    x = 11,400.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.